Let x be the length of a side and V be the volume of the cube. Then, v = x3. dV/dt = 3x2 × dx/dt It is given that dx/dt = 2 cm/s dv/dt = 3x2(2) = 6x2 Thus, when x = 12 cm dv/dt = 6 (12)2 = 864 cm3/s
Pipe A and B can fill the pool in 36 minutes and 48 minutes, respectively. Pipe C can empty half filled pool in 36 minutes. If all the pipes are opened ...
Tap A can fill a tank in 15 hours. Tap B can fill 20% part of the same tank in 4 hours, whereas Tap C can alone empty a tank in ‘x’ hours. 2/5 part ...
Pipe ‘A’ can fill a tank in 10 hours while pipe ‘B’ can empty it in 12 hours. They were operated on alternate hours starting with pipe ‘A’. ...
Pipe X can empty a completely filled tank in 60 hours. Pipe Y and X together can fill an empty tank completely in (z+6) hours. The efficiency of pipe Y ...
Two pipes A and B can fill a tank in 24 min., and 32 min, respectively. If both the pipes are opened simultaneously, after how much time B should be clo...
Pipe ‘A’ can fill a tank in 20 hours while pipe ‘B’ takes 32 hours to empty it. Pipe ‘A’ is opened alone when the tank was empty and after 1...
If a tank can be filled by a tap in 16 hours, but due to an outlet, it actually takes 4 hours longer to fill the tank, find the duration in which the ou...
In a party a tank is filled with some quantities of juice. Three vessels of different volume are used to serve the juice. Volume of the smallest vessel ...
Pipe ‘A’ and pipe ‘B’, together can fill 20% of a tank in 5 hours while pipe ‘C’ takes 40 hours to empty it. ...
A tank is filled by 3 pipes, second pipe take 5 hours more than first pipe and 5 hours less than third pipe to fill the tank alone. If second and third ...
